# Verify that |r^{t}(s)|=1.Consider the helix represented investigation by the vector-valued function r(t)= < 2 cos t, 2 sin t, t >.

Verify that $‖{r}^{t}\left(s\right)‖=1$.Consider the helix represented investigation by the vector-valued function .
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Talisha
Given:The function Proofs:The curve in terms of arc length is,.On differenting the vector-value function r(s), we getFrom this calcute $‖{r}^{\prime }\left(s\right)‖$ as

$=1$Hence, it is proved that $‖{r}^{\prime }\left(s\right)‖=1$